两通道完全重构全相位FIR滤波器组的设计  

Design of Two-Channel Perfect Reconstruction All-Phase FIR Filter Bank

作　　者：黄翔东[1] 王兆华[1] 

机构地区：[1]天津大学电子信息工程学院,天津300072

出　　处：《天津大学学报》2006年第12期1504-1508,共5页Journal of Tianjin University(Science and Technology)

摘　　要：提出了两通道完全重构全相位FIR滤波器组的设计算法,理论证明了无窗和双窗情况下全相位滤波的3个重要性质.并针对不同的滤波器长度N和频率向量的设置(传统对称或偶对称),设计出了4种全相位半带滤波器.再对半带滤波器进行谱分解,构造出了各分析和综合滤波器.理论和仿真实验表明,全相位PR滤波器组具有较高的重构精度,滤波器长度N为8时的重构误差比CDF9/7双正交小波滤波器组低3个数量级.A novel design algorithm of two-channel perfect reconstruction （PR） all-phase FIR filter bank was proposed. Three important properties of all-phase filtering under the condition of no window and dual windows were proved. Moreover, corresponding to different filter length N and frequency vector setting modes （ traditional symmetry or even symmetry） ,4 types of all-phase half-band filters were designed. By implementing spectrum factorization on the half-band filters, all the analytic and synthetic filters were constructed. Theoretical analysis and simulation experiments show that all-phase PR filter bank is of high reconstruction accuracy, and the reconstruction error of all-phase PR filter bank with N = 8 is 3 quantity level lower than that of CDF9/7 biorthogonal wavelet filter bank.

关 键 词：两通道滤波器组 全相位 完全重构 半带滤波器 谱分解 

分 类 号：TN911.72[电子电信—通信与信息系统]